Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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An elementary proof about the order of the elements in a discrete group
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by G. Crombez
Proc. Amer. Math. Soc. 85 (1982), 59-60
DOI: https://doi.org/10.1090/S0002-9939-1982-0647897-7
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Abstract:

We give an elementary direct proof of the following property: if for a discrete group $G$ some ${l_p}(G)$-space $(1 < p < \infty )$ is an algebra, then all elements of $G$ have uniformly bounded order.
References
  • W. Żelazko, On the Burnside problem for locally compact groups, Symposia Mathematica, Vol. XVI, Academic Press, London, 1975, pp. 409–416. (Convegno sui Gruppi Topologici e Gruppi di Lie, INDAM, Rome, 1974),. MR 0396841
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Bibliographic Information
  • © Copyright 1982 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 85 (1982), 59-60
  • MSC: Primary 43A15; Secondary 22C05
  • DOI: https://doi.org/10.1090/S0002-9939-1982-0647897-7
  • MathSciNet review: 647897